N－边域上的积分磨光法

Ｎ－边域上的积分磨光法黄正东，王启付，周济，余俊（华中理工大学机械学院ＣＡＤ中心）ＩＮＴＥＧＲＡＬＳＭＯＯＴＨＩＮＧＭＥＴＨＯＤＯＮＮ－ＳＩＤＥＤＳＵＲＦＡＣＥＲＥＧＩＯＮＳ￥ＨｕａｎｇＺｈｅｎｇ－ｄｏｎｇ；ＷａｎｇＱｉ－ｆｕ；ＺｈｏｕＪｉ；ＹｕＪｕ...     

A NOTE ON REGULARITY AND EXISTENCE OF SOLUTIONS FOR A CLASS OF NON－UNIFORMLY DEGENERATE ELLIPTIC EQUATIONS

ＡＮＯＴＥＯＮＲＥＧＵＬＡＲＩＴＹＡＮＤＥＸＩＳＴＥＮＣＥＯＦＳＯＬＵＴＩＯＮＳＦＯＲＡＣＬＡＳＳＯＦＮＯＮ－ＵＮＩＦＯＲＭＬＹＤＥＧＥＮＥＲＡＴＥＥＬＬＩＰＴＩＣＥＱＵＡＴＩＯＮＳ￥ＬＩＪＵＮＪＩＥ（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＺｈｅｊｉａｎｇＵｎｉ...     

SOLVXBILITY OF FORWARD－BACKWARD SDES AND THE NODAL SET OF HAMILTON－JACOBI－BELLMAN EQUATIONS

ＳＯＬＶＸＢＩＬＩＴＹＯＦＦＯＲＷＡＲＤ－ＢＡＣＫＷＡＲＤＳＤＥＳＡＮＤＴＨＥＮＯＤＡＬＳＥＴＯＦＨＡＭＩＬＴＯＮ－ＪＡＣＯＢＩ－ＢＥＬＬＭＡＮＥＱＵＡＴＩＯＮＳ￥ＭＡＪＩＮ；ＹＯＮＧＪＩＯＮＧＭＩＮＡｂｓｔｒａｃｔ：Ｔｈｅｓｏｌｖａｂｉｌｉｔｙｏｆ...     

FOURIER－CHEBYSHEV SPECTRAL METHOD FOR SOLVING THREE－DIMENSIONAL VORTICITY EQUATION

ＦＯＵＲＩＥＲ－ＣＨＥＢＹＳＨＥＶＳＰＥＣＴＲＡＬＭＥＴＨＯＤＦＯＲＳＯＬＶＩＮＧＴＨＲＥＥ－ＤＩＭＥＮＳＩＯＮＡＬＶＯＲＴＩＣＩＴＹＥＱＵＡＴＩＯＮＧＵＯＢＥＮＹＵ（郭本瑜）；ＬＩＪＩＡＮ（李健）；ＭＡＨＥＰＩＮＧ（马和平）（Ｄｅｐａｒｔｍｅｎｔｏ...     

RANDOM ITERAtION OF HOLOMORPHIC SELF-MAPS OVER BOUNDED DOMAINS IN C~N

ＲＡＮＤＯＭＩＴＥＲＡＴＩＯＮＯＦＨＯＬＯＭＯＲＰＨＩＣＳＥＬＦ－ＭＡＰＳＯＶＥＲＢＯＵＮＤＥＤＤＯＭＡＩＮＳＩＮＣ~Ｎ￥ＺＨＡＮＧＷＥＮＪＵＮ；ＲＥＮＦＵＹＡＯ（ＤｅｐａｒａｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＨｅｎａｌＵｎｉｖｅｒｓｉｔｙｔＫａ?..     

矩形网格上二元向量有理插值的对偶性

矩形网格上二元向量有理插值的对偶性朱功勤，檀结庆（合肥工业大学）ＴＨＥＤＵＡＬＩＴＹＯＦＢＩＶＳＲＩＡＴＥＶＥＣＴＯＲＶＡＬＵＥＤＲＡＴＩＯＮＡＬＩＮＴＥＲＰＯＬＡＮＴＳＯＶＥＲＲＥＣＴＡＮＧＵＬＡＲＧＲＩＤＳ￥ＺｈｕＧｏｎｇ－ｑｉｎ；ＴａｎＪｉｅ－...     

MAJOR－EFFICIENT SOLUTIONS AND WEAKLY MAJOR－EFFICIENT SOLUTIONS OF MULTIOBJECTIVE PROGRAMMING

ＭＡＪＯＲ－ＥＦＦＩＣＩＥＮＴＳＯＬＵＴＩＯＮＳＡＮＤＷＥＡＫＬＹＭＡＪＯＲ－ＥＦＦＩＣＩＥＮＴＳＯＬＵＴＩＯＮＳＯＦＭＵＬＴＩＯＢＪＥＣＴＩＶＥＰＲＯＧＲＡＭＭＩＮＧ￥ＨＵＹＵＤＡ（Ｄｅｐｔ．ｏｆＡｐｐｌ．Ｍａｔｈ．，ＳｈａｎｇｈａｉＪｉａｏＴｏｎ...     

A NOTE ON THAT KUBOTA＇S AD－INTEGRAL IS MORE GENERAL THAN BURKILLS AP－INTEGRAL

ＡＮＯＴＥＯＮＴＨＡＴＫＵＢＯＴＡ＇ＳＡＤ－ＩＮＴＥＧＲＡＬＩＳＭＯＲＥＧＥＮＥＲＡＬＴＨＡＮＢＵＲＫＩＬＬＳＡＰ－ＩＮＴＥＧＲＡＬ￥ＬｉｎＹｉｎｇｊｉａｎ（ＤｅｐｔｏｆＭａｔｈ，ＪｉｍｅｉＴｅａｃｈｅｒｓ＇Ｃｏｌｌｅｇｅ，Ｘｉａｍｅｎ３６１０２１）...     

GLOBAL CONVERCENCE OF THE FLETCHER-REEVES ALGORITHM WITH INEXACT LINESEARCH

ＧＬＯＢＡＬＣＯＮＶＥＲＣＥＮＣＥＯＦＴＨＥＦＬＥＴＣＨＥＲ－ＲＥＥＶＥＳＡＬＧＯＲＩＴＨＭＷＩＴＨＩＮＥＸＡＣＴＬＩＮＥＳＥＡＲＣＨ￥ＬＩＵＧＵＡＮＧＨＵＩ；ＨＡＮＪＩＹＥ；ＡＮＤＹＩＮＨＯＮＧＸＩＡＡｂｓｔｒａｃｔ：Ｉｎｔｈｉｓｐａｐｅｒ，ｗｅｉ...     

The HAUSDORFF DIMENSION AND MEASURE OF THE GENERALIZED MORAN FRACTALS AND FOURIER SERIES

ＴｈｅＨＡＵＳＤＯＲＦＦＤＩＭＥＮＳＩＯＮＡＮＤＭＥＡＳＵＲＥＯＦＴＨＥＧＥＮＥＲＡＬＩＺＥＤＭＯＲＡＮＦＲＡＣＴＡＬＳＡＮＤＦＯＵＲＩＥＲＳＥＲＩＥＳ￥ＲＥＮＦＵＴｈＯ；ＬＩＡＮＧＪＩＮＲＯＮＧＡｂｓｔｒａｃｔ：Ｔｈｉｓｐａｐｅｒｓｔｕｄｉｅｓｔｈ...     

Surface measures in infinite-dimensional spaces

We construct surface measures for surfaces of codimensionn≥1 in Banach spaces, and in a wide class of locally convex spaces. It is assumed that the determining function has a continuous derivative along a subspace.     

Surface measures in infinite-dimensional spaces

We construct surface measures for surfaces of codimensionn≥1 in Banach spaces, and in a wide class of locally convex spaces. It is assumed that the determining function has a continuous derivative along a subspace. Translated fromMatematickeskie Zametki, Vol. 63, No. 1, pp. 106–114, January, 1998. The author wishes to express his gratitude to V. I. Bogachev for suggesting the problem and for his valuable scientific advice.     

Regular canonical covers

We construct three sequences of regular surfaces of general type with unbounded numerical invariants whose canonical map is 2–to–1 onto a canonically embedded surface. Only sporadic examples of surfaces with these properties were previously known.     

具有重结点的B-样条曲面G1的连续条件

本文得到了关于两个双三次内部重结点B-样条曲面片G1连续的充分必要条件和在公共边界线上控制向量的本征条件.这些条件直接由两个B-样条曲面的控制向量表示.文[10]证明了使用内部单结点的双三次B-样条曲面来构造G1光滑曲面,局部格式不存在.使用本文的这些条件就可以构造出具有局部各式的G1光滑造型.     

Deformation of canonical morphisms and the moduli of surfaces of general type

In this article we study the deformation of finite maps and show how to use this deformation theory to construct varieties with given invariants in a projective space. Among other things, we prove a criterion that determines when a finite map can be deformed to a one-to-one map. We use this criterion to construct new surfaces of general type with birational canonical map, for different c₁²c_{1}^{2} and χ (the canonical map of the surfaces we construct is in fact a finite, birational morphism). Our general results enable us to describe some new components of the moduli of surfaces of general type. We also find infinitely many moduli spaces having one component whose general point corresponds to a canonically embedded surface and another component whose general point corresponds to a surface whose canonical map is a degree 2 morphism.     

Simple factor dressing and the López–Ros deformation of minimal surfaces in Euclidean 3-space

The aim of this paper is to investigate a new link between integrable systems and minimal surface theory. The dressing operation uses the associated family of flat connections of a harmonic map to construct new harmonic maps. Since a minimal surface in 3-space is a Willmore surface, its conformal Gauss map is harmonic and a dressing on the conformal Gauss map can be defined. We study the induced transformation on minimal surfaces in the simplest case, the simple factor dressing, and show that the well-known López–Ros deformation of minimal surfaces is a special case of this transformation. We express the simple factor dressing and the López–Ros deformation explicitly in terms of the minimal surface and its conjugate surface. In particular, we can control periods and end behaviour of the simple factor dressing. This allows to construct new examples of doubly-periodic minimal surfaces arising as simple factor dressings of Scherk’s first surface.

     

Finite Abelian Groups of K3 Surfaces with Smooth Quotient

The quotient space of a K3 surface by a finite group is an Enriques surface or a rational surface if it is smooth. Finite groups where the quotient space are Enriques surfaces are known. In this paper, by analyzing effective divisors on smooth rational surfaces, the author will study finite groups which act faithfully on K3 surfaces such that the quotient space are smooth. In particular, he will completely determine effective divisors on Hirzebruch surfaces such that there is a finite Abelian co...     

CLOSED SMOOTH SURFACE DEFINED FROM CUBIC TRIANGULAR SPLINES

In order to construct closed surfaces with continuous unit normal, we introduce a news pline space on an arbitrary closed mesh of three-sided faces. Our approach generalizes an idea of Goodman and is based on the concept of ‘Geometric continuity‘ for piecewise polynomial parametrizations. The functions in the spline space restricted to the faces are cubic triangular polynomials. A basis of the spline space is constructed of positive functions which sum to 1. It is also shown that the space is suitable for interpolating data at the midpoints of the faces。     

On a question of Zariski on Zariski surfaces

We give a new method to construct unirational surfaces which may be applied to the following question posed by Zariski in his studies on unirational surfaces. Is any Zariski surface with geometric genus zero rational? Our main result is a negative answer to this question in any characteristic case.     

Optimization of vertical axisymmetric displacements of a thin circular plate under a nonstationary thermal load

We study the problem of optimal control of the distribution of vertical axisymmetric thermal displacements of a thin circular plate fixed along its edge. The displacements are caused by a nonstationary heat load on one of the end surfaces. The thermal action on the other end surface is chosen as the control function. Using the Hankel and Laplace transforms in the space of continuous functions, we construct the solution of the inverse problem of thermoelasticity to which the original control problem has been reduced.Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 40, No. 3, 1997, pp. 148–153.